Yes, you can take Sudafed, Mucinex DM and Ibuprofen together. I do it every day. I do recommend however that you use plain Mucinex instead, unless you have a bad cough. Speak to your pharmacist if you have any concerns.
Take 2000mg of vitamin C, to start. Get a big kettle, boil some water, and lean over it with a towel on your head. Those drugs are a waste of time. Let your body, immune system, do the work, and become stronger to fight.
You can take these meds together according to standard drug texts. But these OTC meds are mostly for comfort in partial relief of symptoms. If you truly need an antibiotic, these meds won't substitute to help you. You may check some large chain pharmacies offer free or $4 dollar antibiotics. Generally infections of this type are self contained and self limiting, but miserable, and could get much worse.